A researcher claims that 10% of all safety helmets have manufacturing flaws. To

Question

A researcher claims that 10% of all safety helmets have manufacturing flaws. To test this claim (H0: p = 0.10), a random sample of helmets was selected and the sample proportion of helmets with flaws calculated. After further calculations, a 95% confidence interval on the true proportion of helmets that have flaws was found to be (0.18, 0.23) and a decision was made about the claim of the true proportion of helmets with flaws. Using the same level of significance, which of the following p-values would lead to the same conclusion (same conclusion as reached using the conifdence interval) about the claim H0: p = 0.10? A. 0.067 B. 0.03 C. 0.125 D. 0.09

Explanation / Answer

[ANSWER] 0.03
We reject the Null Hyppothesis only when P-cal < Alpha, at 0.05 to reject the Null, P-cal should be less than 0.05
Based on our results, it takes longer (on average) to complete Task 2 than it does to complete Task 1

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